Exhibit 24                           Power of Attorney

    Know all by these presents, that the undersigned hereby constitutes and
appoints each of Scott Dahnke, Marc Magliacano and Dave McPherson signing
singly, the undersigned's true and lawful attorney- in-fact to:

        1.  execute for and on behalf of the undersigned, in the undersigned's
            capacity as an officer and/or director of Restoration Hardware
            Holdings, Inc., a Form ID and Forms 3, 4 and 5 in accordance with
            Section 16(a) of the Securities Exchange Act of 1934 and the rules;
            and
        2.  do and perform any and all acts for and on behalf of the undersigned
            which may be necessary or desirable to complete and execute any such
            Form ID and Form 3, 4 or 5, complete and execute any amendment or
            amendments thereto, and timely file such form with the United States
            Securities and Exchange Commission and any stock exchange or similar
            authority.

    The undersigned hereby grants to each such attorney-in-fact full power and
authority to do and perform any and every act and thing whatsoever requisite,
necessary, or proper to be done in the exercise of any of the rights and powers
herein granted, as fully to all intents and purposes as the undersigned might or
could do if personally present, with full power of substitution or revocation,
hereby ratifying and confirming all that such attorney-in-fact, or such
attorney-in-fact's substitute or substitutes, shall lawfully do or cause to be
done by virtue of this power of attorney and the rights and powers herein
granted. The undersigned acknowledges that the foregoing attorneys-in-fact, in
serving in such capacity at the request of the undersigned, are not assuming,
nor is of Restoration Hardware Holdings, Inc. assuming, any of the undersigned's
responsibilities to comply with Section 16 of the Securities Exchange Act of
1934.

    This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 3, 4 and 5 with respect to the
undersigned's holdings of and transactions in securities issued by Restoration
Hardware Holdings, Inc., a Delaware corporation, unless earlier revoked by the
undersigned in a signed writing delivered to the foregoing attorneys- in-fact.

    IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to be
executed as of November 1, 2012.

                                        /s/ J. Michael Chu
                                        ---------------------------------------
                                        J. Michael Chu